Atkin-Lehner |
2+ 7- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
63602i |
Isogeny class |
Conductor |
63602 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
749952 |
Modular degree for the optimal curve |
Δ |
-877829357633536 = -1 · 216 · 72 · 113 · 593 |
Discriminant |
Eigenvalues |
2+ 2 -3 7- 11- 1 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-176194,-28575756] |
[a1,a2,a3,a4,a6] |
Generators |
[1297764:18236622:2197] |
Generators of the group modulo torsion |
j |
-12345390417402783097/17914884849664 |
j-invariant |
L |
5.2316737114487 |
L(r)(E,1)/r! |
Ω |
0.11650208038519 |
Real period |
R |
7.484378094008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002678 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63602d1 |
Quadratic twists by: -7 |